The closest song to come to my mind is The Mamas and The Papas' "Creeque Alley"
-- in the whole song they're talking about themselves and other musicians. The song lyrics never specifically say "The Mamas and The Papas," so I guess it doesn't fit the specifics of your question. Great song,though. :)
Ìdk if this counts - it was the title track of their debut album, but they changed the name of the band to avoid copyright issues with a pre-existing Scottish band called "The Flowers".